Nonstandard Methods of Analysis
Author:   A.G. Kusraev ,  Semën Samsonovich Kutateladze
Publisher:   Springer
Edition:   Softcover reprint of the original 1st ed. 1994
Volume:   291
ISBN:  

9789401044974


Pages:   439
Publication Date:   20 October 2012
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Nonstandard Methods of Analysis


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Overview

Nonstandard Methods of Analysis is concerned with the main trends in this field; infinitesimal analysis and Boolean-valued analysis. The methods that have been developed in the last twenty-five years are explained in detail, and are collected in book form for the first time. Special attention is paid to general principles and fundamentals of formalisms for infinitesimals as well as to the technique of descents and ascents in a Boolean-valued universe. The book also includes various novel applications of nonstandard methods to ordered algebraic systems, vector lattices, subdifferentials, convex programming etc. that have been developed in recent years. For graduate students, postgraduates and all researchers interested in applying nonstandard methods in their work.

Full Product Details

Author:   A.G. Kusraev ,  Semën Samsonovich Kutateladze
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 1994
Volume:   291
Dimensions:   Width: 16.00cm , Height: 2.30cm , Length: 24.00cm
Weight:   0.717kg
ISBN:  

9789401044974


ISBN 10:   940104497
Pages:   439
Publication Date:   20 October 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

I. Infinitesimal Analysis.- 1. Excursus into the History of Mathematical Analysis.- 2. Naive Fundamentals of Infinitesimal Methods.- 3 Set-Theoretic Formalisms of Nonstandard Analysis.- 4. Monads in General Topology.- 5. Infinitesimals and Subdifferentials.- 2. Boolean-Valued Analysis.- 1. Universes of Sets.- 2. Boolean-Valued Universes.- 3. Functors of Boolean-Valued Analysis.- 4. Boolean-Valued Analysis of Algebraic Systems.- 5. Boolean Representations in Functional Analysis.- References.

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